Translating Words into Mathematical Symbols
Write the phrase as a variable expression.
1. 11 more than a number
2. A number decreased by 10
3. The product of 9 and a number
4. 10 times a number
5. A number multiplied by 3
6. One fourth of a number
7. The quotient of a number and 6
8. 7 divided by a number
Write the sentence as an equation or an inequality.
9. The product of 5 and a number x is 25.
10. 10 times a number x is greater than or equal to 50.
11. The difference between 13 and a number is 7.
12. A number increased by 2 is 4.
13. The product of 2 and a number is 4.
14. A number decreased by 4 is 2.
15. A number divided by 4 is 2
16. The sum of 20 and a number is 30.
17. A number increased by 10 is greater than or equal to 44.
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18. 35 is less than the difference of 21 and a number.
19. The quotient of 49 and a number is 7.
20. 28 decreased by a number is 18.
Translate and solve the real-life problems. Be sure to define your variables!
21. You make a long distance telephone call. The rate is $.10 for each minute. The total cost of the
call is $5.00. How long was the call? Check to see if your solution is reasonable.
22. The area of a rectangle is less than or equal to 50 square meters. The length of the rectangle is
three times the width of the rectangle. Draw a diagram and write an inequality for the area using the
dimensions given.
23. You want to go to an amusement park. The distance between your house and the amusement
park is 110 miles. Your rate of travel is 55 miles per hour. Use the formula d = rt to write an equation.
Use mental math to solve the equation for the time you spend traveling.
24. You want to hire a live band for a school dance. You have $175 in your budget. The live band
charges $75 per hour and each student pays $2 admission. If the band is to play for 3 hours, how
much extra money do you need to raise?